Swarm Formation Viewed as a Differential Game

S.N. Givigi Jr. and H.M. Schwartz (Canada)

Keywords

Swarm robotics, game theory, dynamic equations, opti mization, swarm formation

Abstract

In this paper we define the swarm formation problem as a differential game. Each robot is represented by its dynamic differential equations and their behaviours are represented by strategies, which are control signals to the robots. The objective of each robot is to minimize some utility function. We are particularly interested in the modeling of the prob lem and its consequences to the field of swarm robotics. The main contribution of the article is in the application of the differential game tools to this field.

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